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323125000 = 23571147
BaseRepresentation
bin10011010000100…
…111111100001000
3211112000110011121
4103100213330020
51130210000000
652021405024
711002342252
oct2320477410
9745013147
10323125000
11156439660
1290269774
1351c36733
1430cb2cd2
151d57ab1a
hex13427f08

323125000 has 128 divisors (see below), whose sum is σ = 843747840. Its totient is φ = 115000000.

The previous prime is 323124983. The next prime is 323125003. The reversal of 323125000 is 521323.

It is a sliding number, since 323125000 = 3125000 + 320000000 and 1/3125000 + 1/320000000 = 0.000000323125000.

It is not an unprimeable number, because it can be changed into a prime (323125003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874977 + ... + 6875023.

It is an arithmetic number, because the mean of its divisors is an integer number (6591780).

Almost surely, 2323125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421873920).

323125000 is an abundant number, since it is smaller than the sum of its proper divisors (520622840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323125000 is an frugal number, since it uses more digits than its factorization.

323125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 323125000 is about 17975.6780122475. The cubic root of 323125000 is about 686.2097010962.

Adding to 323125000 its reverse (521323), we get a palindrome (323646323).

It can be divided in two parts, 32 and 3125000, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 323125000 in words is "three hundred twenty-three million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 625 940 1000 1034 1100 1175 1250 1375 1880 2068 2200 2350 2500 2585 2750 3125 4136 4700 5000 5170 5500 5875 6250 6875 9400 10340 11000 11750 12500 12925 13750 15625 20680 23500 25000 25850 27500 29375 31250 34375 47000 51700 55000 58750 62500 64625 68750 78125 103400 117500 125000 129250 137500 146875 156250 171875 235000 258500 275000 293750 312500 323125 343750 517000 587500 625000 646250 687500 734375 859375 1175000 1292500 1375000 1468750 1615625 1718750 2585000 2937500 3231250 3437500 3671875 5875000 6462500 6875000 7343750 8078125 12925000 14687500 16156250 29375000 32312500 40390625 64625000 80781250 161562500 323125000